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10111210220111 = 7111323990144357
BaseRepresentation
bin1001001100100011001100…
…0101111110101001001111
31022210121210121212210002112
42103020303011332221033
52311130224304020421
633301005330014235
72062340133540260
oct223106305765117
938717717783075
1010111210220111
11324915a630440
121173753a1737b
135846382b76b0
1426d556d42967
151280383e445b
hex9323317ea4f

10111210220111 has 64 divisors (see below), whose sum is σ = 14167896938496. Its totient is φ = 6955730496000.

The previous prime is 10111210220087. The next prime is 10111210220113. The reversal of 10111210220111 is 11102201211101.

It is not a de Polignac number, because 10111210220111 - 26 = 10111210220047 is a prime.

It is a super-4 number, since 4×101112102201114 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111210220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227928545 + ... + 227972901.

It is an arithmetic number, because the mean of its divisors is an integer number (221373389664).

Almost surely, 210111210220111 is an apocalyptic number.

10111210220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111210220111 is a deficient number, since it is larger than the sum of its proper divisors (4056686718385).

10111210220111 is a wasteful number, since it uses less digits than its factorization.

10111210220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54312.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10111210220111 its reverse (11102201211101), we get a palindrome (21213411431212).

The spelling of 10111210220111 in words is "ten trillion, one hundred eleven billion, two hundred ten million, two hundred twenty thousand, one hundred eleven".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1771 2093 3289 9901 23023 44357 69307 108911 128713 227723 310499 487927 576641 762377 900991 1020211 1415843 1594061 2504953 2960399 3415489 4036487 6343051 7141477 9910901 11222321 13262743 17534671 20722793 32564389 44401357 78556247 92839201 145890173 227950723 439178657 1021231211 3074250599 4830965227 5709322541 10101109111 33816756589 39965257787 62802547951 70707763777 111112200221 131314418443 439617835657 777785401547 919200929101 1444458602873 10111210220111